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A small bead of mass m=1 kg is carried by a circular hoop having centre at C and radius r=1 m which rotates about a fixed vertical axis (as shown). The coefficient of friction between bead and hoop is μ=0.5. The maximum angular speed of the hoop in rad/s for which the bead does not have relative motion with respect to hoop: initial position of bead is shown in figure. Answer upto 2 decimal places.

Answer» A small bead of mass m=1 kg is carried by a circular hoop having centre at C and radius r=1 m which rotates about a fixed vertical axis (as shown). The coefficient of friction between bead and hoop is μ=0.5. The maximum angular speed of the hoop in rad/s for which the bead does not have relative motion with respect to hoop: initial position of bead is shown in figure. Answer upto 2 decimal places.






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